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We obtain sharp ranges of $L^p$-boundedness for domains in a wide class of Reinhardt domains representable as sub-level sets of monomials, by expressing them as quotients of simpler domains. We prove a general transformation law relating $L^p$-bounde
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d1506575f978c2c561f7d93862703cc
http://arxiv.org/abs/2004.02598
http://arxiv.org/abs/2004.02598
Autor:
Luke D. Edholm, David E. Barrett
Publikováno v:
Advances in Mathematics. 364:107012
We compute the exact norms of the Leray transforms for a family S β of unbounded hypersurfaces in two complex dimensions. The S β generalize the Heisenberg group, and provide local projective approximations to any smooth, strongly C -convex hypersu
Expected duality and approximation properties are shown to fail on Bergman spaces of domains in C n , via examples. When the domain admits an operator satisfying certain mapping properties, positive duality and approximation results are proved. Such
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e5dd332516dc086025ca737f95d903a